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23035000 = 235417271
BaseRepresentation
bin101011111011…
…1110001111000
31121100022002011
41113313301320
521344110000
62141415304
7366536302
oct127676170
947308064
1023035000
111200359a
12786a534
134a069a1
1430b8972
1520502ba
hex15f7c78

23035000 has 80 divisors (see below), whose sum is σ = 57356640. Its totient is φ = 8640000.

The previous prime is 23034967. The next prime is 23035007. The reversal of 23035000 is 53032.

It is a super-2 number, since 2×230350002 = 1061222450000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23035007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84865 + ... + 85135.

It is an arithmetic number, because the mean of its divisors is an integer number (716958).

Almost surely, 223035000 is an apocalyptic number.

23035000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678320).

23035000 is an abundant number, since it is smaller than the sum of its proper divisors (34321640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23035000 is a wasteful number, since it uses less digits than its factorization.

23035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 23035000 is about 4799.4791384066. The cubic root of 23035000 is about 284.5308789967.

Adding to 23035000 its reverse (53032), we get a palindrome (23088032).

The spelling of 23035000 in words is "twenty-three million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 271 340 425 500 542 625 680 850 1000 1084 1250 1355 1700 2125 2168 2500 2710 3400 4250 4607 5000 5420 6775 8500 9214 10625 10840 13550 17000 18428 21250 23035 27100 33875 36856 42500 46070 54200 67750 85000 92140 115175 135500 169375 184280 230350 271000 338750 460700 575875 677500 921400 1151750 1355000 2303500 2879375 4607000 5758750 11517500 23035000